Find the distance between the points $P (- 6, 7)$ and $Q (- 1, - 5)$ .

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Solution

Distance
between two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ can be calculated using the formula $\sqrt{{(x_{2} - x_{1})}_{2}^{2} + {(y_{2} - y_{1})}_{2}^{2}}$

Distance between the points P $(- 6, 7)$ and Q $(- 1, - 5) = \sqrt{{(- 1 + 6)}^{2} + {(- 5 - 7)}^{2}} = \sqrt{25 + 144} = \sqrt{169} = 13$

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